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Finding the Fourth Proportional to 13,188.66, 18,206.76 and 8,480.94

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Solution

The fourth proportional to 13,188.66, 18,206.76 and 8,480.94 is: 11,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.66 : 18,206.76 = 8,480.94 : x
  2. Step 2: Convert to fraction form
    13,188.66/18,206.76 = 8,480.94/x
  3. Step 3: Cross multiply
    13,188.66x = 18,206.76 × 8,480.94
  4. Step 4: Simplify right side
    13,188.66x = 154,410,439.15
  5. Step 5: Solve for x
    x = 154,410,439.15/13,188.66
  6. Step 6: Final answer
    x = 11,707.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.